The second superstring revolution (1994-??) has brought non-perturbative string physics within reach. The key discoveries were the recognition of amazing and surprising "dualities." They have taught us that what we viewed previously as five theories is in fact five different perturbative expansions of a single underlying theory about five different points! It is now clear that there is a unique theory, though it may allow many different vacua.... Three different kinds of dualities, called S, T, and U have been identified."
John Henry SchwarzRelated topics
clear different five key now reach revolution second single string surprising teach three unique pointsRelated quotes
Students using astrophysical textbooks remain essentially ignorant of even the existence of plasma concepts, despite the fact that some of them have been known for half a century. The conclusion is that astrophysics is too important to be left in the hands of astrophysicists who have gotten their main knowledge from these textbooks. Earthbound and space telescope data must be treated by scientists who are familiar with laboratory and magnetospheric physics and circuit theory, and of course with modern plasma theory.
Hannes Alfvén
The theory of punctuated equilibrium, proposed by Niles Eldredge and myself, is not, as so often misunderstood, a radical claim for truly sudden change, but a recognition that ordinary processes of speciation, properly conceived as glacially slow by the standard of our own life-span, do not resolve into geological time as long sequences of insensibly graded intermediates (the traditional, or gradualistic, view), but as geologically "sudden” origins at single bedding planes.
Stephen Jay Gould
We are sometimes told that we are not a biblical church. We are a biblical church. This wonderful testament of the Old World, this great and good Holy Bible is one of our standard works. We teach from it. We bear testimony of it. We read from it. It strengthens our testimony. And we add to that this great second witness, the Book of Mormon, the testament of the New World, for as the Bible says, "In the mouth of two or three witnesses shall [all things] be established" (2 Cor. 13:1).”.
Gordon B. Hinckley
If, even as the price to be paid for a fifth vote, I ever joined an opinion for the Court that began: "The Constitution promises liberty to all within its reach, a liberty that includes certain specific rights that allow persons, within a lawful realm, to define and express their identity,” I would hide my head in a bag. The Supreme Court of the United States has descended from the disciplined legal reasoning of John Marshall and Joseph Story to the mystical aphorisms of the fortune cookie.
Antonin Scalia
In lecturing on cookery, as on housebuilding, I divide the subject into, not four, but five grand elements: first, Bread; second, Butter; third, Meat; fourth, Vegetables; and fifth, Tea - by which I mean, generically, all sorts of warm, comfortable drinks served out in teacups, whether they be called tea, coffee, chocolate, broma, or what not. I affirm that, if these five departments are all perfect, the great ends of domestic cookery are answered, so far as the comfort and well-being of life are concerned.
Harriet Beecher Stowe